ab(c^2+1)+c(a^2+b^2) factories
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ab(c²+1)+c(a²+b²)
= abc² + ab + a²c + b²c
= abc²+a²c+ab+b²c
= ac(bc+a) + b(a+bc)
= ac(a+bc) + b(a+bc) [bc+a can also be written as a+bc because both of them are same at all and we doesn't change the sign of any terms here.]
= (ac+b) (a+bc)
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